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Finding the Third Proportional to 178,289 and 391,569

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Solution

The third proportional to 178,289 and 391,569 is: 859,987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,289 : 391,569 = 391,569 : x
  2. Step 2: Convert to fraction form
    178,289/391,569 = 391,569/x
  3. Step 3: Cross multiply
    178,289x = 391,569 × 391,569
  4. Step 4: Simplify right side
    178,289x = 153,326,281,761
  5. Step 5: Solve for x
    x = 153,326,281,761/178,289
  6. Step 6: Final answer
    x = 859,987.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.